Heat Kernel and Loop Currents by the Generating Function Method
Abstract
Description
The generating function method is applied to the trace of the heat kernel and the one-loop effective action derived from the covariant perturbation theory. The basis of curvature invariants of second order for the heat kernel (Green function) is built and simple rules for form factor manipulations are proposed. The results are checked by deriving the Schwinger-DeWitt series of the heat kernel and divergences of one-loop currents.
12 pages, LaTeX, to appear in: Heat Kernel Techniques and Quantum Gravity, Discourses in Mathematics and Its Applications, No. 4, ed. by S. A. Fulling, (Texas A&M University, College Station, Texas, 1995)
12 pages, LaTeX, to appear in: Heat Kernel Techniques and Quantum Gravity, Discourses in Mathematics and Its Applications, No. 4, ed. by S. A. Fulling, (Texas A&M University, College Station, Texas, 1995)